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Finding the Fourth Proportional to 1,533.54, 2,116.17 and 904.11

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Solution

The fourth proportional to 1,533.54, 2,116.17 and 904.11 is: 1,247.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,533.54 : 2,116.17 = 904.11 : x
  2. Step 2: Convert to fraction form
    1,533.54/2,116.17 = 904.11/x
  3. Step 3: Cross multiply
    1,533.54x = 2,116.17 × 904.11
  4. Step 4: Simplify right side
    1,533.54x = 1,913,250.46
  5. Step 5: Solve for x
    x = 1,913,250.46/1,533.54
  6. Step 6: Final answer
    x = 1,247.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.